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Finding the Fourth Proportional to 408,345.18, 612,583.11 and 142,181.34

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Solution

The fourth proportional to 408,345.18, 612,583.11 and 142,181.34 is: 213,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,345.18 : 612,583.11 = 142,181.34 : x
  2. Step 2: Convert to fraction form
    408,345.18/612,583.11 = 142,181.34/x
  3. Step 3: Cross multiply
    408,345.18x = 612,583.11 × 142,181.34
  4. Step 4: Simplify right side
    408,345.18x = 87,097,887,441.17
  5. Step 5: Solve for x
    x = 87,097,887,441.17/408,345.18
  6. Step 6: Final answer
    x = 213,294.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.